Conserved Currents for the Gauge-Field Theory with Lorentz Symmetry Group

Autor: Öttinger, Hans Christian
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: For the Yang-Mills-type gauge-field theory with Lorentz symmetry group, we propose and verify an explicit expression for the conserved currents in terms of the energy-momentum tensor. A crucial ingredient is the assumption that the gauge symmetry arises from the decomposition of a metric in terms of tetrad variables. The currents exist under the weak condition that the energy-momentum tensor and the Ricci tensor commute. We show how the conserved currents can be used to obtain a composite theory of gravity and discuss the static isotropic field around a point mass at rest.
Comment: 5 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2110.02527
Databáze: arXiv